(7-x)²-(x-16)²=0 equation
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The solution
Detail solution
Given the equation:
(7-x)^2-(x-16)^2 = 0
Expand expressions:
49 + x^2 - 14*x - (x - 16)^2 = 0
49 + x^2 - 14*x - 256 - x^2 + 32*x = 0
Reducing, you get:
-207 + 18*x = 0
Move free summands (without x)
from left part to right part, we given:
$$18 x = 207$$
Divide both parts of the equation by 18
x = 207 / (18)
We get the answer: x = 23/2
Sum and product of roots
[src]
$$\frac{23}{2}$$
$$\frac{23}{2}$$
$$\frac{23}{2}$$
$$\frac{23}{2}$$